Exam 3: Numerical Descriptive Measures

SCENARIO 3-5 The rate of return of a Fortune 500 company over the past 15 years are: 3.17%, 4.43%, 5.93%, 5.43%, 7.29%, 8.21%, 6.23%, 5.23%, 4.34%, 6.68%, 7.14%, -5.56%, -5.23%, -5.73%, -10.34% -Referring to Scenario 3-5, compute the arithmetic mean rate of return per year.

If a set of data is perfectly symmetrical, the arithmetic mean must be identical to the median.

SCENARIO 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89. -Referring to Scenario 3-4, the standard deviation of the customs data is ________.

SCENARIO 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Note: For this sample, the sum of the values is 448, and the sum of the squared differences between each value and the mean is 812. -Referring to Scenario 3-3, what type of shape does the distribution of the sample appear to have?

The line drawn within the box of the boxplot always represents the arithmetic mean.

SCENARIO 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Scenario 3-12, what is the sample covariance between the performance scores and the rating?

SCENARIO 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89. -Referring to Scenario 3-4, the arithmetic mean of the customs data is ________.

SCENARIO 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Scenario 3-12, you will expect a decrease in the performance score of one laptop computer to be associated with

SCENARIO 3-7 In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589, $593, $1,223, $869, $423, $1,720, $708, $1425, $922 and $308. -Referring to Scenario 3-7, what is the mean and median change in the cost?

In right-skewed distributions, the distance from Q₃ to the largest value is greater than the distance from the smallest observation to Q₁.

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. -Referring to Scenario 3-2, is the carbohydrate amount in the cereal right- or left-skewed?

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. -Referring to Scenario 3-2, the first quartile of the carbohydrate amounts is ________ grams.

Which of the arithmetic mean, median, mode, and geometric mean are resistant measures of central tendency?

A boxplot is a graphical representation of a five-number summary.

SCENARIO 3-6 The rate of return of an Internet Service Provider over a 10-year period are: 10.25%, 12.64%, 8.37%, 9.29%, 6.23%, 42.53%, 29.23%, 15.25%, 21.52%, -2.35%. -Referring to Scenario 3-6, what is the shape of the distribution for the rate of return?

SCENARIO 3-8 The period from 2010 to 2013 saw a great deal of volatility in the value of stocks.The data in the following table represent the total rate of return of our companies from 2010 to 2013. -Referring to Scenario 3-8, calculate the geometric mean rate of return per year for Company B.

SCENARIO 3-7 In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589, $593, $1,223, $869, $423, $1,720, $708, $1425, $922 and $308. -Referring to Scenario 3-7, what is the coefficient of variation of the change in cost?

SCENARIO 3-6 The rate of return of an Internet Service Provider over a 10-year period are: 10.25%, 12.64%, 8.37%, 9.29%, 6.23%, 42.53%, 29.23%, 15.25%, 21.52%, -2.35%. -Referring to Scenario 3-6, compute the geometric mean rate of return per year for the first three years.

SCENARIO 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Scenario 3-12, how will you classify the linear relationship between the performance scores and the rating?

SCENARIO 3-11 Given below are the closing prices for the Dow Jones Industrial Average (DJIA)and the Standard & Poor's (S&P)500 Index over 10-weeks sometime in the past. -Referring to Scenario 3-11, for the week when the DJIA is high, you will expect the index in that week to